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The given tables each show the number of stories completed in the construction of four different high-rise buildings and the number of days spent working on the building. Which table best represents a linear relationship? '

A. Number of Days 140 300 520 740 960 Number of Stories 4 8 12 16 20

B. Number of Days 120 240 360 480 600 Number of Stories 5 10 15 20 25

C. Number of Days 30 60 120 240 480 Number of Stories 2 4 6 8 10

D. Number of Days 90 225 400 680 960 Number of Stories 3 6 9 12 15

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Answer:

The correct answer option is B. Number of Days 120 240 360 480 600 Number of Stories 5 10 15 20 25.

Explanation:

We are given some tables showing the number of stories completed in the construction of four different high-rise buildings and the number of days spent working on the building.

We are to determine whether which table represents a linear relationship.

Table B represents a linear relationship since its ratio of number of days to number of stories completed is constant.

Number of Days 120 240 360 480 600

Number of Stories 5 10 15 20 25

Ratio 24 24 24 24 24

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